On the critical points of the flight return time function of perturbed closed orbits

DOI10.1016/j.jde.2018.12.031zbMath1433.34058OpenAlexW2910996683WikidataQ128683761 ScholiaQ128683761MaRDI QIDQ1733232

Adriana Buică, Jaume Giné, Maite Grau

Publication date: 21 March 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.12.031

zbMATH Keywords

bifurcationcenterperiodic orbitquadratic systemperiod functionperiod annulusplanar differential equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items

Perturbed normalizers and Melnikov functions ⋮ Criticality via first order development of the period constants

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